Question

suppose you wanted to "pull an einstein" and create a
staticuniverse (=0, =0) in which the gravitational
attractionof matter is exactly balanced by the gravitational
repulsion ofquintessence with equation-of-state parameter . within what range must fall for the effects of quintessence
tobe repulsive? for repulsive quintessence with energy
density and equation-of-state parameter
, what is the necessary matterdensity
() to produce a static universe? will
thecurvature of this static universe be negative or positive?
whatwill be its radius of curvature, expressed in terms of
and ?

please write a detailed solution, step by step, i don't know how
todo this at all!!
thank you